Continuity at a Point

Continuity in interval , Continuity at point function , Limit based continuity questions, Important points

Basic introduction || Continuity at interior point || Illustration

Examine the function f(x)=2x^(2)-5 for its continuity at the point x = 3 .

Basic & Continuity at Boundary point , illustration

Continuity in open & closed interval || Built in limit || Continuity at boundary points || Different illustration OF continuity

A function f on R into itself is continuous at a point a in R.if f for each e>0 .there exists,delta>0 such that |f(x)-f(a)|

Prove that f(x)=|sinx| is continuous at all points of its domain.

Prove that the following functions are continuous at all points of their domains : f(x)=tanx